## Precalculus Textbook 8th Edition Section 1.5 Exercise 43 Solution

**Question**:

What is the inverse of the function f(x) = 3x – 2?

**Option A**: g(x) = x/3 + 2

**Option B**: g(x) = 2 – 3x

**Option C**: g(x) = (x + 2) / 3

**Option D**: g(x) = (x – 3) / 2

**Option E**: g(x) = (x – 2) / 3

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**Solution**:

The given function is f(x) = 3x – 2.

Then, y = 3x – 2

Then, y + 2 = 3x

Then, (y + 2) / 3 = x

Then, f^{-1}(x) = (x + 2) / 3 (**Option C**)

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